This Demonstration shows some solutions to the time-dependent Schrödinger equation for a 1D infinite square well. You can see how wavefunctions and probability densities evolve in time. You can set initial conditions as a linear combination of the first three energy eigenstates.

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Details

Vary the time to see the evolution of the wavefunction of a particle of mass in an infinite square well of length . Initial conditions are a linear combination of the first three energy eigenstates . The amplitude of each coefficient is set by the sliders. The phase of each coefficient at is set by the sliders. The wavefunction is automatically normalized.